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Ice Cream Flavor Preference by Gender Men Women Marginal Row Totals Vanilla 15 10 25 Chocolate 30 5 35 Marginal Column Totals 45 15 60(Grand

Ice Cream Flavor Preference by Gender

Men

Women

Marginal Row Totals

Vanilla

15

10

25

Chocolate

30

5

35

Marginal Column Totals

45

15

60(Grand Total)

The chi-square statistic is 5.143. Thep-value is .0233. This result is significant atp< .05.

#1. The chart above shows male and female preferences for vanilla vs. chocolate ice cream among men and women.

  1. What percent of men prefer chocolate over vanilla? ________
  2. What percent of women prefer chocolate over vanilla? ________
  3. Report the results of the statistical test in plain language:

#2. The calculator at this link will allow you to perform a one-way chi-square or "goodness of fit test":

http://vassarstats.net/csfit.html

Fifty students can choose between four different professors to take Introductory Statistics. The number choosing each professor is shown below. Use the calculator above to test the null hypothesis that there is no preference for professors -- that there is an equal chance of choosing each of them. Report your results including chi-square, degrees of freedom, p-value and your interpretation. Use an alpha level of .05. Be careful not to over interpret - state only what the test result tells you.

Professor

N

Dr. Able

20

Dr. Baker

8

Dr. Chavez

14

Dr. Davis

8

#3. Match these non-parametric statistical tests with their parametric counterpart by putting the corresponding letter on the line.

_____ Friedman test

_____ Kruskal-Wallis H test

_____ Mann-Whitney U test

_____ Wilcoxon Signed-Ranks T test

A: Paired-sample t-test

B: Independent-sample t-test

C: One-way ANOVA, independent samples

D: One-way ANOVA, repeated measures

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